H-hypersurfaces with three distinct principal curvatures in the Euclidean spaces

Nurettin Cenk Turgay

doi:10.1007/s10231-014-0445-z

H-hypersurfaces with three distinct principal curvatures in the Euclidean spaces

Nurettin Cenk Turgay^*

^*Corresponding author for this work

Department of Mathematics Engineering

Research output: Contribution to journal › Article › peer-review

29 Citations (Scopus)

Abstract

In this paper, we study hypersurfaces of Euclidean spaces with arbitrary dimension. First, we obtain some results on $$\text{ H }$$H-hypersurfaces. Then, we give the complete classification of $$\text{ H }$$H-hypersurfaces with three distinct curvatures. We also give some explicit examples.

Original language	English
Pages (from-to)	1795-1807
Number of pages	13
Journal	Annali di Matematica Pura ed Applicata
Volume	194
Issue number	6
DOIs	https://doi.org/10.1007/s10231-014-0445-z
Publication status	Published - 1 Dec 2015

Bibliographical note

Publisher Copyright:
© 2014, Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag Berlin Heidelberg.

Funding

The author is supported by Scientific Research Agency of Istanbul Technical University (Project Number: 6489). The author also would like to express his gratitude to the referee for his/her helpful comments that help to improve the quality of the manuscript.

Funders	Funder number
Istanbul Teknik Üniversitesi	6489

Keywords

Biconservative maps
Biharmonic submanifolds
Null 2-type submanifolds

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10.1007/s10231-014-0445-z

Cite this

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AB - In this paper, we study hypersurfaces of Euclidean spaces with arbitrary dimension. First, we obtain some results on $$\text{ H }$$H-hypersurfaces. Then, we give the complete classification of $$\text{ H }$$H-hypersurfaces with three distinct curvatures. We also give some explicit examples.

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KW - Null 2-type submanifolds

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H-hypersurfaces with three distinct principal curvatures in the Euclidean spaces

Abstract

Bibliographical note

Funding

Keywords

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